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math.PR2021★ 1 cited
Nonlinear stochastic wave Equation driven by rough noise
Shuhui Liu, Yaozhong Hu, Xiong Wang
In this paper, we obtain the existence and uniqueness of the strong solution to one spatial dimension stochastic wave equation $\frac{\partial^2 u(t,x)}{\partial t^2}=\frac{\partia…
math.PR2021★ 1 cited
Intermittency properties for a large class of stochastic PDEs driven by fractional space-time noises
Yaozhong Hu, Xiong Wang
In this paper, we study intermittency properties for various stochastic PDEs with varieties of space time Gaussian noises via matching upper and lower moment bounds of the solution…
math.PR2019
Stochastic Heat Equation with general noise
Yaozhong Hu, Xiong Wang
In this paper, we study a nonlinear one spatial dimensional stochastic heat equations driven by Gaussian noise: $\frac{\partial u }{\partial t}=\frac{\partial^2 u }{\partial x^2}+σ…